Shin Yoshizawa’s Curve Simulator |

Shin Yoshizawa, RIKEN, Japan |

How to use the applet

- System: Open/Close the System Window.
*Close System Window*: Close the System Window.- Clear Memory: Clear canvas and memory and Initialize conditions.
- Split Control Points: Split/Collapse control points of B-Spline curve.
- Open New Window: Open/Close the new application of program.
- Basic Properties: Open/Close the Basic Properties window.
*Close Basic Properties Window*: Close the Basic Properties window.- Control Points Visible: Set true/false the visibility of the control points.
- Normal Visible: Visualize the normal vector of the curve.
- Curvature Normals Visible: Visualize the curvature normal vector of the curve.
- Tangent Visible: Visualize the tangent vector of the curve.
- Curves: Open/Close the Curves window.
*Close Curves Window*: Close Curves window.- Initial Curve Color: Set true/false the coloring the curve.
- Osculating Circles: Visualize the osculating circles.
- Moving osculating circle: The interactive user interface will appear to select an osculating point.
- Offset Curves: Visualize the offset curves.
- Moving Offset Curve: The interactive user interface will appear to manipulate size of normal of initial curve for constructing offset curve.
- Family of Normals: Visualize the family of curve normals.
- Moving Normal: The interactive user interface will appear to select a location of the normal.
- Evolute: Visualize the evolute curve.
- Orthotomic Curve: Visualize the orthotomic curve and Appear the interactive user interface which decide the location of the light source point.
- Family of Orthotomic Normals: Visualize the family of orthotomic curve normals and Appear the interactive user interface which decide the location of the light source point.
- Caustics: Visualize the caustic curve and Appear the interactive user interface which decide the location of the light source point.
- Evolutions: Open/Close the Evolutions window.
- Close Evolution Window: Close the Evolution window.
- Curvature Driven F = k: Visualize the family of evolving curves whose evolution depends on the curvature-driven curve deformations technique (F = k).
- trace k minima F = k: Visualize the locus of the local positive/negative curvature maxima/minima whose evolution depends on the curvature-driven curve deformations technique (F = k).
- Curvature Driven F = -2.0 + k: Visualize the family of evolving curves whose evolution depends on the curvature-driven curve deformations technique (F = -2.0 + k).
- trace k minima F = -2.0 + k: Visualize the locus of the local positive/negative curvature maxima/minima whose evolution depends on the curvature-driven curve deformations technique (F = -2.0 + k).
- Laplacian Flow: Visualize the family of evolving curves whose evolution depends on the Laplacian Flow.
- trace k minima laplace: Visualize the locus of the local positive/negative curvature maxima/minima whose evolution depends on the Laplacian Flow.
- Distance Function Flow: Visualize the family of evolving curves whose evolution depends on the Distance Function Flow.
- trace k minima contour: Visualize the locus of the local positive/negative curvature maxima/minima whose evolution depends on the Distance Function Flow.
- Skeletons: Open/Close the Skeletons window.
- Close Skeletons Window: Close the Skeletons window.
- Skeleton via bi-tangent circles: Visualize the skeleton via the bi-tangent circles.
- Moving bi-tangent circle: The interactive user interface will appear to select the osculating points of one.
- bi-tangent circle: Visualize the bi-tangent circles.
- normal to skeleton: Visualize the normal vector to the skeleton.
- center of bi-tangent: Visualize the center point of the skeleton.
- Skeleton via Voronoi diagram Visible: Visualize the skeleton via Voronoi diagram.
- Voronoi diagram Visible: Visualize the Voronoi diagram.
*Center:*Initialize the virtual center point.*Init Zoom:*Initialize the virtual scale value.*Pick:*On the picking the control points and interactive user interface mode.*Move:*On the moving the virtual center point mode.*Zoom:*On the zooming the virtual scale value mode.