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Demonstrating Whitney fold by the normal bundle to a parabola
curve |
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The critical distance points between two surfaces. The red-colored pairs of points are of minimal distances. |
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degenerate (formally A_3) maximal and minimal distances to an ellipse |
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The Surface-Surface Intersection computed from a nonlinear
constraint system, i.e. the zero set of a map from a 4-space to 3-space. |
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The flecnodal curve. Note that the base surface has two C1and one C0breakings. |
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The critical distance points between two planar curves. |
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Computing the evolute of an ellipse using a dramatic degree
reduction stragety as prensented in one of our papers. |
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The extended evolute of a C^1 curve with 8 breaks. |
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Evolute of a C^2 curve and its curvature plot |
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curvature critical points |
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computing zeros of curvature derivative: tranditional approach |
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computing zeros of curvature derivative: our approach. |
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Tracking intersection curves of two deforming surfaces. |
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Tracking critical distances between a moving point and a C^ curve. |