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QuadricT.hh
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44 /*===========================================================================*\
45 * *
46 * $Revision: 1258 $ *
47 * $Date: 2015-04-28 15:07:46 +0200 (Di, 28 Apr 2015) $ *
48 * *
49 \*===========================================================================*/
50
55 //=============================================================================
56 //
57 // CLASS QuadricT
58 //
59 //=============================================================================
60
61 #ifndef OPENMESH_GEOMETRY_QUADRIC_HH
62 #define OPENMESH_GEOMETRY_QUADRIC_HH
63
64
65 //== INCLUDES =================================================================
66
67 #include "Config.hh"
68 #include <OpenMesh/Core/Geometry/VectorT.hh>
69 #include <OpenMesh/Core/Utils/GenProg.hh>
70
71 //== NAMESPACE ================================================================
72
73 namespace OpenMesh { //BEGIN_NS_OPENMESH
74 namespace Geometry { //BEGIN_NS_GEOMETRY
75
76
77 //== CLASS DEFINITION =========================================================
78
79
86 template <class Scalar>
87 class QuadricT
88 {
89 public:
90 typedef Scalar value_type;
91 typedef QuadricT<Scalar> type;
92 typedef QuadricT<Scalar> Self;
93 // typedef VectorInterface<Scalar, VecStorage3<Scalar> > Vec3;
94 // typedef VectorInterface<Scalar, VecStorage4<Scalar> > Vec4;
95 //typedef Vector3Elem Vec3;
96 //typedef Vector4Elem Vec4;
97
99 QuadricT(Scalar _a, Scalar _b, Scalar _c, Scalar _d,
100 Scalar _e, Scalar _f, Scalar _g,
101 Scalar _h, Scalar _i,
102 Scalar _j)
103 : a_(_a), b_(_b), c_(_c), d_(_d),
104 e_(_e), f_(_f), g_(_g),
105 h_(_h), i_(_i),
106 j_(_j)
107 {
108 }
109
110
112 QuadricT( Scalar _a=0.0, Scalar _b=0.0, Scalar _c=0.0, Scalar _d=0.0 )
113 : a_(_a*_a), b_(_a*_b), c_(_a*_c), d_(_a*_d),
114 e_(_b*_b), f_(_b*_c), g_(_b*_d),
115 h_(_c*_c), i_(_c*_d),
116 j_(_d*_d)
117 {}
118
119 template <class _Point>
120 QuadricT(const _Point& _pt)
121 {
122 set_distance_to_point(_pt);
123 }
124
125 template <class _Normal, class _Point>
126 QuadricT(const _Normal& _n, const _Point& _p)
127 {
128 set_distance_to_plane(_n,_p);
129 }
130
131 //set operator
132 void set(Scalar _a, Scalar _b, Scalar _c, Scalar _d,
133 Scalar _e, Scalar _f, Scalar _g,
134 Scalar _h, Scalar _i,
135 Scalar _j)
136 {
137 a_ = _a; b_ = _b; c_ = _c; d_ = _d;
138 e_ = _e; f_ = _f; g_ = _g;
139 h_ = _h; i_ = _i;
140 j_ = _j;
141 }
142
143 //sets the quadric representing the squared distance to _pt
144 template <class _Point>
145 void set_distance_to_point(const _Point& _pt)
146 {
147 set(1, 0, 0, -_pt[0],
148 1, 0, -_pt[1],
149 1, -_pt[2],
150 dot(_pt,_pt));
151 }
152
153 //sets the quadric representing the squared distance to the plane [_a,_b,_c,_d]
154 void set_distance_to_plane(Scalar _a, Scalar _b, Scalar _c, Scalar _d)
155 {
156 a_ = _a*_a; b_ = _a*_b; c_ = _a*_c; d_ = _a*_d;
157 e_ = _b*_b; f_ = _b*_c; g_ = _b*_d;
158 h_ = _c*_c; i_ = _c*_d;
159 j_ = _d*_d;
160 }
161
162 //sets the quadric representing the squared distance to the plane
163 //determined by the normal _n and the point _p
164 template <class _Normal, class _Point>
165 void set_distance_to_plane(const _Normal& _n, const _Point& _p)
166 {
167 set_distance_to_plane(_n[0], _n[1], _n[2], -dot(_n,_p));
168 }
169
171 void clear() { a_ = b_ = c_ = d_ = e_ = f_ = g_ = h_ = i_ = j_ = 0.0; }
172
174 QuadricT<Scalar>& operator+=( const QuadricT<Scalar>& _q )
175 {
176 a_ += _q.a_; b_ += _q.b_; c_ += _q.c_; d_ += _q.d_;
177 e_ += _q.e_; f_ += _q.f_; g_ += _q.g_;
178 h_ += _q.h_; i_ += _q.i_;
179 j_ += _q.j_;
180 return *this;
181 }
182
183
185 QuadricT<Scalar>& operator*=( Scalar _s)
186 {
187 a_ *= _s; b_ *= _s; c_ *= _s; d_ *= _s;
188 e_ *= _s; f_ *= _s; g_ *= _s;
189 h_ *= _s; i_ *= _s;
190 j_ *= _s;
191 return *this;
192 }
193
194
196 template <class _Vec4>
197 _Vec4 operator*(const _Vec4& _v) const
198 {
199 Scalar x(_v[0]), y(_v[1]), z(_v[2]), w(_v[3]);
200 return _Vec4(x*a_ + y*b_ + z*c_ + w*d_,
201 x*b_ + y*e_ + z*f_ + w*g_,
202 x*c_ + y*f_ + z*h_ + w*i_,
203 x*d_ + y*g_ + z*i_ + w*j_);
204 }
205
207 template <class _Vec>
208 Scalar operator()(const _Vec& _v) const
209 {
210 return evaluate(_v, GenProg::Int2Type<_Vec::size_>());
211 }
212
213 Scalar a() const { return a_; }
214 Scalar b() const { return b_; }
215 Scalar c() const { return c_; }
216 Scalar d() const { return d_; }
217 Scalar e() const { return e_; }
218 Scalar f() const { return f_; }
219 Scalar g() const { return g_; }
220 Scalar h() const { return h_; }
221 Scalar i() const { return i_; }
222 Scalar j() const { return j_; }
223
224 Scalar xx() const { return a_; }
225 Scalar xy() const { return b_; }
226 Scalar xz() const { return c_; }
227 Scalar xw() const { return d_; }
228 Scalar yy() const { return e_; }
229 Scalar yz() const { return f_; }
230 Scalar yw() const { return g_; }
231 Scalar zz() const { return h_; }
232 Scalar zw() const { return i_; }
233 Scalar ww() const { return j_; }
234
235 protected:
236
238 template <class _Vec3>
239 Scalar evaluate(const _Vec3& _v, GenProg::Int2Type<3>/*_dimension*/) const
240 {
241 Scalar x(_v[0]), y(_v[1]), z(_v[2]);
242 return a_*x*x + 2.0*b_*x*y + 2.0*c_*x*z + 2.0*d_*x
243 + e_*y*y + 2.0*f_*y*z + 2.0*g_*y
244 + h_*z*z + 2.0*i_*z
245 + j_;
246 }
247
249 template <class _Vec4>
250 Scalar evaluate(const _Vec4& _v, GenProg::Int2Type<4>/*_dimension*/) const
251 {
252 Scalar x(_v[0]), y(_v[1]), z(_v[2]), w(_v[3]);
253 return a_*x*x + 2.0*b_*x*y + 2.0*c_*x*z + 2.0*d_*x*w
254 + e_*y*y + 2.0*f_*y*z + 2.0*g_*y*w
255 + h_*z*z + 2.0*i_*z*w
256 + j_*w*w;
257 }
258
259 private:
260
261 Scalar a_, b_, c_, d_,
262 e_, f_, g_,
263 h_, i_,
264 j_;
265 };
266
267
269 typedef QuadricT<float> Quadricf;
270
272 typedef QuadricT<double> Quadricd;
273
274
275 //=============================================================================
276 } // END_NS_GEOMETRY
277 } // END_NS_OPENMESH
278 //============================================================================
279 #endif // OPENMESH_GEOMETRY_HH defined
280 //=============================================================================
OpenMesh::Geometry::QuadricT::operator+=
QuadricT< Scalar > & operator+=(const QuadricT< Scalar > &_q)
add quadrics
Definition: QuadricT.hh:174
OpenMesh
Contains all the mesh ingredients like the polygonal mesh, the triangle mesh, different mesh kernels ...
Definition: MeshItems.hh:64
OpenMesh::Geometry::QuadricT::operator*=
QuadricT< Scalar > & operator*=(Scalar _s)
multiply by scalar
Definition: QuadricT.hh:185
OpenMesh::Geometry::QuadricT::clear
void clear()
set all entries to zero
Definition: QuadricT.hh:171
Config.hh
OpenMesh::Geometry::QuadricT::evaluate
Scalar evaluate(const _Vec3 &_v, GenProg::Int2Type< 3 >) const
evaluate quadric Q at 3D vector v: v*Q*v
Definition: QuadricT.hh:239
OpenMesh::Geometry::QuadricT::QuadricT
QuadricT(Scalar _a=0.0, Scalar _b=0.0, Scalar _c=0.0, Scalar _d=0.0)
constructor from given plane equation: ax+by+cz+d_=0
Definition: QuadricT.hh:112
OpenMesh::Geometry::QuadricT::operator()
Scalar operator()(const _Vec &_v) const
evaluate quadric Q at (3D or 4D) vector v: v*Q*v
Definition: QuadricT.hh:208
OpenMesh::Geometry::QuadricT::QuadricT
QuadricT(Scalar _a, Scalar _b, Scalar _c, Scalar _d, Scalar _e, Scalar _f, Scalar _g, Scalar _h, Scalar _i, Scalar _j)
construct with upper triangle of symmetrix 4x4 matrix
Definition: QuadricT.hh:99
OpenMesh::Geometry::QuadricT::operator*
_Vec4 operator*(const _Vec4 &_v) const
multiply 4D vector from right: Q*v
Definition: QuadricT.hh:197
OpenMesh::Geometry::QuadricT
/class QuadricT Geometry/QuadricT.hh
Definition: QuadricT.hh:87
OpenMesh::Geometry::QuadricT::evaluate
Scalar evaluate(const _Vec4 &_v, GenProg::Int2Type< 4 >) const
evaluate quadric Q at 4D vector v: v*Q*v
Definition: QuadricT.hh:250
OpenMesh::dot
osg::Vec3f::ValueType dot(const osg::Vec3f &_v1, const osg::Vec3f &_v2)
Adapter for osg vector member computing a scalar product.
Definition: VectorAdapter.hh:181