519 lines
16 KiB
C
519 lines
16 KiB
C
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/*#***************************************************************************
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* VertexBase.h o o *
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* o o *
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* Visual Computing Group _ O _ *
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* IEI Institute, CNUCE Institute, CNR Pisa \/)\/ *
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* /\/| *
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* Copyright(C) 1999 by Paolo Cignoni, Claudio Rocchini | *
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* All rights reserved. \ *
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* *
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* Permission to use, copy, modify, distribute and sell this software and *
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* its documentation for any purpose is hereby granted without fee, provided *
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* that the above copyright notice appear in all copies and that both that *
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* copyright notice and this permission notice appear in supporting *
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* documentation. the author makes no representations about the suitability *
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* of this software for any purpose. It is provided "as is" without express *
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* or implied warranty. *
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* *
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*****************************************************************************/
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/****************************************************************************
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History
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2000 Jul 23 First Working release (only the tetrahedron)
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30 Added Octahedron
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Aug 4 Added Icosahedron
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Nov 22 Added Hexahedron (cube)
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2001 Apr 19 Added HalfOctahedron
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20 Added Square
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May 16 Added Sphere Function (CR) (PC)
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" Cone " " "
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" Box (CR)
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Jul 09 Aggiunta Build (CR)
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****************************************************************************/
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#ifndef __VCGLIB_PLATONIC
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#define __VCGLIB_PLATONIC
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#include <vcg/Mesh/Refine.h>
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template <class MESH_TYPE>
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void Tetrahedron(MESH_TYPE &in)
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{
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in.vn=4;
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in.fn=4;
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in.vert.clear();
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in.face.clear();
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MESH_TYPE::vertex_type tv;tv.Supervisor_Flags()=0;
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MESH_TYPE::vectorial_type tp;
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tp=MESH_TYPE::vectorial_type ( 1, 1, 1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type (-1, 1,-1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type (-1,-1, 1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 1,-1,-1); tv.P()=tp; in.vert.push_back(tv);
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vector<MESH_TYPE::vertex_pointer> index(in.vn);
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MESH_TYPE::face_type f;f.Supervisor_Flags()=0;
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MESH_TYPE::vertex_iterator vi;
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int j;
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for(j=0,vi=in.vert.begin();j<in.vn;++j,++vi) index[j] = &*vi;
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f.V(0)=index[0]; f.V(1)=index[1];f.V(2)=index[2]; in.face.push_back(f);
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f.V(0)=index[0]; f.V(1)=index[2];f.V(2)=index[3]; in.face.push_back(f);
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f.V(0)=index[0]; f.V(1)=index[3];f.V(2)=index[1]; in.face.push_back(f);
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f.V(0)=index[3]; f.V(1)=index[2];f.V(2)=index[1]; in.face.push_back(f);
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}
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template <class MESH_TYPE>
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void Octahedron(MESH_TYPE &in)
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{
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in.vn=6;
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in.fn=8;
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in.vert.clear();
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in.face.clear();
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MESH_TYPE::vertex_type tv;tv.Supervisor_Flags()=0;
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MESH_TYPE::vectorial_type tp;
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tp=MESH_TYPE::vectorial_type ( 1, 0, 0); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 0, 1, 0); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 0, 0, 1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type (-1, 0, 0); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 0,-1, 0); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 0, 0,-1); tv.P()=tp; in.vert.push_back(tv);
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vector<MESH_TYPE::vertex_pointer> index(in.vn);
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MESH_TYPE::face_type f;f.Supervisor_Flags()=0;
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MESH_TYPE::vertex_iterator vi;
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int j;
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for(j=0,vi=in.vert.begin();j<in.vn;++j,++vi) index[j] = &*vi;
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f.V(0)=index[0]; f.V(1)=index[1];f.V(2)=index[2]; in.face.push_back(f);
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f.V(0)=index[0]; f.V(1)=index[2];f.V(2)=index[4]; in.face.push_back(f);
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f.V(0)=index[0]; f.V(1)=index[4];f.V(2)=index[5]; in.face.push_back(f);
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f.V(0)=index[0]; f.V(1)=index[5];f.V(2)=index[1]; in.face.push_back(f);
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f.V(0)=index[3]; f.V(1)=index[1];f.V(2)=index[5]; in.face.push_back(f);
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f.V(0)=index[3]; f.V(1)=index[5];f.V(2)=index[4]; in.face.push_back(f);
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f.V(0)=index[3]; f.V(1)=index[4];f.V(2)=index[2]; in.face.push_back(f);
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f.V(0)=index[3]; f.V(1)=index[2];f.V(2)=index[1]; in.face.push_back(f);
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}
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template <class MESH_TYPE>
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void Icosahedron(MESH_TYPE &in)
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{
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MESH_TYPE::scalar_type L=(Sqrt(5.0)+1.0)/2.0;
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MESH_TYPE::vectorial_type vv[12]={
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MESH_TYPE::vectorial_type ( 0, L, 1),
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MESH_TYPE::vectorial_type ( 0, L,-1),
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MESH_TYPE::vectorial_type ( 0,-L, 1),
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MESH_TYPE::vectorial_type ( 0,-L,-1),
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MESH_TYPE::vectorial_type ( L, 1, 0),
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MESH_TYPE::vectorial_type ( L,-1, 0),
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MESH_TYPE::vectorial_type (-L, 1, 0),
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MESH_TYPE::vectorial_type (-L,-1, 0),
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MESH_TYPE::vectorial_type ( 1, 0, L),
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MESH_TYPE::vectorial_type (-1, 0, L),
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MESH_TYPE::vectorial_type ( 1, 0,-L),
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MESH_TYPE::vectorial_type (-1, 0,-L)
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};
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int ff[20][3]={
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{1,0,4},{0,1,6},{2,3,5},{3,2,7},
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{4,5,10},{5,4,8},{6,7,9},{7,6,11},
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{8,9,2},{9,8,0},{10,11,1},{11,10,3},
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{0,8,4},{0,6,9},{1,4,10},{1,11,6},
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{2,5,8},{2,9,7},{3,10,5},{3,7,11}
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};
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in.vn=12;
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in.fn=20;
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in.vert.clear();
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in.face.clear();
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MESH_TYPE::vertex_type tv;tv.Supervisor_Flags()=0;
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MESH_TYPE::vectorial_type tp;
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for(int i=0;i<in.vn;i++)
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{
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tv.P()=vv[i];
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in.vert.push_back(tv);
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}
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vector<MESH_TYPE::vertex_pointer> index(in.vn);
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MESH_TYPE::face_type f;f.Supervisor_Flags()=0;
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MESH_TYPE::vertex_iterator vi;
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int j;
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for(j=0,vi=in.vert.begin();j<in.vn;++j,++vi) index[j] = &*vi;
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for(j=0;j<in.fn;++j)
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{
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f.V(0)=index[ff[j][0]];
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f.V(1)=index[ff[j][1]];
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f.V(2)=index[ff[j][2]];
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in.face.push_back(f);
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}
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}
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template <class MESH_TYPE>
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void Hexahedron(MESH_TYPE &in)
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{
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in.vn=8;
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in.fn=12;
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in.vert.clear();
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in.face.clear();
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MESH_TYPE::vertex_type tv;tv.Supervisor_Flags()=0;
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MESH_TYPE::vectorial_type tp;
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tp=MESH_TYPE::vectorial_type (-1,-1,-1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 1,-1,-1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type (-1, 1,-1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 1, 1,-1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type (-1,-1, 1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 1,-1, 1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type (-1, 1, 1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 1, 1, 1); tv.P()=tp; in.vert.push_back(tv);
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vector<MESH_TYPE::vertex_pointer> index(in.vn);
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MESH_TYPE::face_type f;f.Supervisor_Flags()=0;
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MESH_TYPE::vertex_iterator vi;
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int j;
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for(j=0,vi=in.vert.begin();j<in.vn;++j,++vi) index[j] = &*vi;
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f.V(0)=index[0]; f.V(1)=index[1];f.V(2)=index[2]; in.face.push_back(f);
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f.V(0)=index[3]; f.V(1)=index[2];f.V(2)=index[1]; in.face.push_back(f);
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f.V(0)=index[0]; f.V(1)=index[2];f.V(2)=index[4]; in.face.push_back(f);
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f.V(0)=index[6]; f.V(1)=index[4];f.V(2)=index[2]; in.face.push_back(f);
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f.V(0)=index[0]; f.V(1)=index[4];f.V(2)=index[1]; in.face.push_back(f);
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f.V(0)=index[5]; f.V(1)=index[1];f.V(2)=index[4]; in.face.push_back(f);
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f.V(0)=index[7]; f.V(1)=index[5];f.V(2)=index[6]; in.face.push_back(f);
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f.V(0)=index[4]; f.V(1)=index[6];f.V(2)=index[5]; in.face.push_back(f);
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f.V(0)=index[7]; f.V(1)=index[6];f.V(2)=index[3]; in.face.push_back(f);
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f.V(0)=index[2]; f.V(1)=index[3];f.V(2)=index[6]; in.face.push_back(f);
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f.V(0)=index[7]; f.V(1)=index[3];f.V(2)=index[5]; in.face.push_back(f);
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f.V(0)=index[1]; f.V(1)=index[5];f.V(2)=index[3]; in.face.push_back(f);
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}
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template <class MESH_TYPE>
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void HalfOctahedron(MESH_TYPE &in)
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{
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in.vn=5;
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in.fn=4;
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in.vert.clear();
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in.face.clear();
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MESH_TYPE::vertex_type tv;tv.Supervisor_Flags()=0;
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MESH_TYPE::vectorial_type tp;
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tp=MESH_TYPE::vectorial_type ( 1, 0, 0); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 0, 1, 0); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 0, 0, 1); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type (-1, 0, 0); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 0,-1, 0); tv.P()=tp; in.vert.push_back(tv);
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vector<MESH_TYPE::vertex_pointer> index(in.vn);
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MESH_TYPE::face_type f;f.Supervisor_Flags()=0;
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MESH_TYPE::vertex_iterator vi;
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int j;
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for(j=0,vi=in.vert.begin();j<in.vn;++j,++vi) index[j] = &*vi;
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f.V(0)=index[0]; f.V(1)=index[1];f.V(2)=index[2]; in.face.push_back(f);
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f.V(0)=index[0]; f.V(1)=index[2];f.V(2)=index[4]; in.face.push_back(f);
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//f.V(0)=index[0]; f.V(1)=index[4];f.V(2)=index[5]; in.face.push_back(f);
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//f.V(0)=index[0]; f.V(1)=index[5];f.V(2)=index[1]; in.face.push_back(f);
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//f.V(0)=index[3]; f.V(1)=index[1];f.V(2)=index[5]; in.face.push_back(f);
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//f.V(0)=index[3]; f.V(1)=index[5];f.V(2)=index[4]; in.face.push_back(f);
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f.V(0)=index[3]; f.V(1)=index[4];f.V(2)=index[2]; in.face.push_back(f);
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f.V(0)=index[3]; f.V(1)=index[2];f.V(2)=index[1]; in.face.push_back(f);
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}
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template <class MESH_TYPE>
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void Square(MESH_TYPE &in)
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{
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in.vn=4;
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in.fn=2;
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in.vert.clear();
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in.face.clear();
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MESH_TYPE::vertex_type tv;tv.Supervisor_Flags()=0;
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MESH_TYPE::vectorial_type tp;
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tp=MESH_TYPE::vectorial_type ( 1, 0, 0); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 0, 1, 0); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type (-1, 0, 0); tv.P()=tp; in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 0,-1, 0); tv.P()=tp; in.vert.push_back(tv);
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vector<MESH_TYPE::vertex_pointer> index(in.vn);
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MESH_TYPE::face_type f;f.Supervisor_Flags()=0;
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MESH_TYPE::vertex_iterator vi;
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int j;
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for(j=0,vi=in.vert.begin();j<in.vn;++j,++vi) index[j] = &*vi;
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f.V(0)=index[0]; f.V(1)=index[1];f.V(2)=index[2]; in.face.push_back(f);
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f.V(0)=index[0]; f.V(1)=index[2];f.V(2)=index[3]; in.face.push_back(f);
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}
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template <class MESH_TYPE>
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void Sphere(MESH_TYPE &in, const int subdiv = 3 )
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{
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Icosahedron(in);
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in.ComputeBorderFlag();
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int lastsize = 0;
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for(int i=0;i<subdiv;++i)
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{
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Refine<MESH_TYPE, MidPoint<MESH_TYPE> >(in,MidPoint<MESH_TYPE>(),0);
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MESH_TYPE::vertex_iterator vi;
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for(vi = in.vert.begin()+lastsize;vi!=in.vert.end();++vi)
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vi->P().Normalize();
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lastsize = in.vert.size();
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}
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}
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/// r1 = raggio 1, r2 = raggio2, h = altezza (asse y)
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template <class MESH_TYPE>
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void Cone( MESH_TYPE & in,
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const MESH_TYPE::scalar_type r1,
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const MESH_TYPE::scalar_type r2,
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const MESH_TYPE::scalar_type h )
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{
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const int D = 24;
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int i,b1,b2;
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if(r1==0 || r2==0)
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{
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in.vn=D+2;
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in.fn=D*2;
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}
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else
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{
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in.vn=D*2+2;
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in.fn=D*4;
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}
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in.vert.clear();
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in.face.clear();
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MESH_TYPE::vertex_type tv;tv.Supervisor_Flags()=0;
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MESH_TYPE::vectorial_type tp;
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tp=MESH_TYPE::vectorial_type ( 0,-h/2,0 );
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tv.P()=tp;
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in.vert.push_back(tv);
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tp=MESH_TYPE::vectorial_type ( 0, h/2,0 );
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tv.P()=tp;
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in.vert.push_back(tv);
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b1 = b2 = 2;
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if(r1!=0)
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{
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for(i=0;i<D;++i)
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{
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double a = i*3.14159265358979323846*2/D;
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double s = sin(a);
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double c = cos(a);
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double x,y,z;
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x = r1*c;
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z = r1*s;
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y = -h/2;
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tp=MESH_TYPE::vectorial_type ( x,y,z );
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tv.P()=tp;
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in.vert.push_back(tv);
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}
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b2 += D;
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}
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|
||
|
if(r2!=0)
|
||
|
{
|
||
|
for(i=0;i<D;++i)
|
||
|
{
|
||
|
double a = i*3.14159265358979323846*2/D;
|
||
|
double s = sin(a);
|
||
|
double c = cos(a);
|
||
|
double x,y,z;
|
||
|
x = r2*c;
|
||
|
z = r2*s;
|
||
|
y = h/2;
|
||
|
tp=MESH_TYPE::vectorial_type ( x,y,z );
|
||
|
tv.P()=tp;
|
||
|
in.vert.push_back(tv);
|
||
|
}
|
||
|
}
|
||
|
|
||
|
vector<MESH_TYPE::vertex_pointer> index(in.vn);
|
||
|
|
||
|
MESH_TYPE::face_type f;
|
||
|
f.Supervisor_Flags()=0;
|
||
|
|
||
|
MESH_TYPE::vertex_iterator vi;
|
||
|
int j;
|
||
|
for(j=0,vi=in.vert.begin();j<in.vn;++j,++vi) index[j] = &*vi;
|
||
|
|
||
|
if(r1!=0)
|
||
|
{
|
||
|
for(i=0;i<D;++i)
|
||
|
{
|
||
|
f.V(0)=index[0];
|
||
|
f.V(1)=index[b1+i];
|
||
|
f.V(2)=index[b1+(i+1)%D];
|
||
|
in.face.push_back(f);
|
||
|
}
|
||
|
}
|
||
|
|
||
|
if(r2!=0)
|
||
|
{
|
||
|
for(i=0;i<D;++i)
|
||
|
{
|
||
|
f.V(0)=index[1];
|
||
|
f.V(1)=index[b2+(i+1)%D];
|
||
|
f.V(2)=index[b2+i];
|
||
|
in.face.push_back(f);
|
||
|
}
|
||
|
}
|
||
|
|
||
|
if(r1==0)
|
||
|
{
|
||
|
for(i=0;i<D;++i)
|
||
|
{
|
||
|
f.V(0)=index[0];
|
||
|
f.V(1)=index[b2+i];
|
||
|
f.V(2)=index[b2+(i+1)%D];
|
||
|
in.face.push_back(f);
|
||
|
}
|
||
|
}
|
||
|
else if(r2==0)
|
||
|
{
|
||
|
for(i=0;i<D;++i)
|
||
|
{
|
||
|
f.V(0)=index[1];
|
||
|
f.V(2)=index[b1+i];
|
||
|
f.V(1)=index[b1+(i+1)%D];
|
||
|
in.face.push_back(f);
|
||
|
}
|
||
|
}
|
||
|
else
|
||
|
{
|
||
|
for(i=0;i<D;++i)
|
||
|
{
|
||
|
f.V(0)=index[b1+i];
|
||
|
f.V(1)=index[b2+i];
|
||
|
f.V(2)=index[b2+(i+1)%D];
|
||
|
in.face.push_back(f);
|
||
|
f.V(0)=index[b1+i];
|
||
|
f.V(1)=index[b2+(i+1)%D];
|
||
|
f.V(2)=index[b1+(i+1)%D];
|
||
|
in.face.push_back(f);
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
template <class MESH_TYPE>
|
||
|
void Box(MESH_TYPE &in, const MESH_TYPE::BOX_TYPE & bb )
|
||
|
{
|
||
|
in.vn=8;
|
||
|
in.fn=12;
|
||
|
in.vert.clear();
|
||
|
in.face.clear();
|
||
|
MESH_TYPE::vertex_type tv;tv.Supervisor_Flags()=0;
|
||
|
MESH_TYPE::vectorial_type tp;
|
||
|
tp=MESH_TYPE::vectorial_type (bb.min[0],bb.min[1],bb.min[2]); tv.P()=tp; in.vert.push_back(tv);
|
||
|
tp=MESH_TYPE::vectorial_type (bb.max[0],bb.min[1],bb.min[2]); tv.P()=tp; in.vert.push_back(tv);
|
||
|
tp=MESH_TYPE::vectorial_type (bb.min[0],bb.max[1],bb.min[2]); tv.P()=tp; in.vert.push_back(tv);
|
||
|
tp=MESH_TYPE::vectorial_type (bb.max[0],bb.max[1],bb.min[2]); tv.P()=tp; in.vert.push_back(tv);
|
||
|
tp=MESH_TYPE::vectorial_type (bb.min[0],bb.min[1],bb.max[2]); tv.P()=tp; in.vert.push_back(tv);
|
||
|
tp=MESH_TYPE::vectorial_type (bb.max[0],bb.min[1],bb.max[2]); tv.P()=tp; in.vert.push_back(tv);
|
||
|
tp=MESH_TYPE::vectorial_type (bb.min[0],bb.max[1],bb.max[2]); tv.P()=tp; in.vert.push_back(tv);
|
||
|
tp=MESH_TYPE::vectorial_type (bb.max[0],bb.max[1],bb.max[2]); tv.P()=tp; in.vert.push_back(tv);
|
||
|
|
||
|
vector<MESH_TYPE::vertex_pointer> index(in.vn);
|
||
|
|
||
|
MESH_TYPE::face_type f;f.Supervisor_Flags()=0;
|
||
|
|
||
|
MESH_TYPE::vertex_iterator vi;
|
||
|
int j;
|
||
|
for(j=0,vi=in.vert.begin();j<in.vn;++j,++vi) index[j] = &*vi;
|
||
|
f.V(0)=index[0]; f.V(1)=index[1];f.V(2)=index[2]; in.face.push_back(f);
|
||
|
f.V(0)=index[3]; f.V(1)=index[2];f.V(2)=index[1]; in.face.push_back(f);
|
||
|
|
||
|
f.V(0)=index[0]; f.V(1)=index[2];f.V(2)=index[4]; in.face.push_back(f);
|
||
|
f.V(0)=index[6]; f.V(1)=index[4];f.V(2)=index[2]; in.face.push_back(f);
|
||
|
|
||
|
f.V(0)=index[0]; f.V(1)=index[4];f.V(2)=index[1]; in.face.push_back(f);
|
||
|
f.V(0)=index[5]; f.V(1)=index[1];f.V(2)=index[4]; in.face.push_back(f);
|
||
|
|
||
|
f.V(0)=index[7]; f.V(1)=index[5];f.V(2)=index[6]; in.face.push_back(f);
|
||
|
f.V(0)=index[4]; f.V(1)=index[6];f.V(2)=index[5]; in.face.push_back(f);
|
||
|
|
||
|
f.V(0)=index[7]; f.V(1)=index[6];f.V(2)=index[3]; in.face.push_back(f);
|
||
|
f.V(0)=index[2]; f.V(1)=index[3];f.V(2)=index[6]; in.face.push_back(f);
|
||
|
|
||
|
f.V(0)=index[7]; f.V(1)=index[3];f.V(2)=index[5]; in.face.push_back(f);
|
||
|
f.V(0)=index[1]; f.V(1)=index[5];f.V(2)=index[3]; in.face.push_back(f);
|
||
|
}
|
||
|
|
||
|
/// Questa funzione costruisce una mesh a partire da un insieme di coordiante
|
||
|
/// ed un insieme di terne di indici di vertici
|
||
|
|
||
|
template <class M,class V, class F >
|
||
|
void Build( M & in, const V & v, const F & f)
|
||
|
{
|
||
|
in.vn = v.size();
|
||
|
in.fn = f.size();
|
||
|
|
||
|
in.vert.clear();
|
||
|
in.face.clear();
|
||
|
|
||
|
V::const_iterator vi;
|
||
|
|
||
|
M::vertex_type tv;
|
||
|
tv.Supervisor_Flags()=0;
|
||
|
|
||
|
for(vi=v.begin();vi!=v.end();++vi)
|
||
|
{
|
||
|
tv.P() = M::vectorial_type(
|
||
|
(M::scalar_type)(*vi).Ext(0),
|
||
|
(M::scalar_type)(*vi).Ext(1),
|
||
|
(M::scalar_type)(*vi).Ext(2)
|
||
|
);
|
||
|
in.vert.push_back(tv);
|
||
|
}
|
||
|
|
||
|
vector<M::vertex_pointer> index(in.vn);
|
||
|
M::vertex_iterator j;
|
||
|
int k;
|
||
|
for(k=0,j=in.vert.begin();j!=in.vert.end();++j,++k)
|
||
|
index[k] = &*j;
|
||
|
|
||
|
F::const_iterator fi;
|
||
|
|
||
|
M::face_type ft;
|
||
|
ft.Supervisor_Flags()=0;
|
||
|
|
||
|
for(fi=f.begin();fi!=f.end();++fi)
|
||
|
{
|
||
|
assert( (*fi)[0]>=0 );
|
||
|
assert( (*fi)[1]>=0 );
|
||
|
assert( (*fi)[2]>=0 );
|
||
|
assert( (*fi)[0]<in.vn );
|
||
|
assert( (*fi)[1]<in.vn );
|
||
|
assert( (*fi)[2]<in.vn );
|
||
|
ft.V(0) = index[ (*fi)[0] ];
|
||
|
ft.V(1) = index[ (*fi)[1] ];
|
||
|
ft.V(2) = index[ (*fi)[2] ];
|
||
|
in.face.push_back(ft);
|
||
|
}
|
||
|
}
|
||
|
|
||
|
#endif
|