Point-Along-Path Interpolation

Point-Along-Path Interpolation

A single point traverses a pair of Catmull–Rom splines, using the SVG `getTotalLength` and `getPointAtLength` methods to compute the point’s position along the path at each frame. The example also includes interactive behavior: clicking on the canvas creates new circles that move along the path with simple vector-based steering toward the mouse position. The visualization demonstrates how path interpolation can be combined with animated movement in D3.

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Point-Along-Path Interpolation

An animated visualization demonstrates how points travel along closed Catmull-Rom spline paths. Multiple circles, created by clicking, move continuously along the paths using SVG’s `getTotalLength` and `getPointAtLength` methods to calculate positions along the path. The code uses d3.v3 with `transition.attrTween` for smooth animation, and vector-based physics to update each circle's velocity and acceleration. The example includes two sample paths and shows how custom Runner objects can be spawned interactively by clicking on the SVG canvas.

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Point-Along-Path Interpolation

This example uses SVG’s `getTotalLength` and `getPointAtLength` methods to animate a point along a Catmull–Rom spline. Two rectangular paths are drawn as black outlines, and a small white-stroked circle follows the second path, moving from corner to corner. The animation is driven by a custom Runner class that applies acceleration and velocity to the point, while the path’s geometry is sampled at successive lengths to position the circle. A small text label and the dark outlines keep the composition minimal. The technique demonstrates dynamic interpolation along a path, in contrast to static stroke-dash interpolation, and is implemented with D3 v3 and SVG animation.

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Point-Along-Path Interpolation

Two closed Catmull–Rom splines form two nested loops, and clicking anywhere on the SVG adds a circle that animates along the outer path. The example demonstrates SVG’s `getTotalLength` and `getPointAtLength` methods to compute positions along the path, driving each circle’s transform via a `transition.attrTween` that loops indefinitely. The code uses D3 v3, with `d3.svg.line` and a cardinal-closed interpolation to define the splines, and renders the animation as SVG circles and paths.

Point-Along-Path Interpolation

Two closed Catmull–Rom splines are drawn as black outlines. Clicking anywhere on the SVG adds a colored circle that then animates along one of the two paths, using the SVG path methods `getTotalLength` and `getPointAtLength` to interpolate its position. A running counter in the top right displays the animation progress as a percentage, and each new click adds another circle with a randomly assigned color, creating multiple points moving simultaneously along the paths.

Point-Along-Path Interpolation

Two nested rectangular paths drawn as Catmull–Rom splines are animated with circular markers that travel along them using the SVG `getTotalLength` and `getPointAtLength` methods. The example defines a custom `Runner` class with vector-based steering behaviors (seek, arrive, and edge wrapping) to move the circles around the closed paths, while D3's line interpolation renders the paths. An on-screen text label and the animated circles demonstrate the interpolation of positions along the splines in real time.

Point-Along-Path Interpolation

Two closed Catmull–Rom splines are drawn as black paths on an SVG canvas, with four user-defined control points each. Clicking anywhere on the canvas adds a new runner—a blue circle—that continuously follows the nearest path using the SVG `getTotalLength` and `getPointAtLength` methods to interpolate its position along the curve. The runners’ motion is driven by a simple steering behavior simulation (velocity, acceleration, and force vectors), and each new runner is added to the dataset and rendered as a circle on click. The animation illustrates how points can be smoothly animated along arbitrary SVG paths, with the paths and circles updated dynamically in response to user interaction.

Point-Along-Path Interpolation

Two closed Catmull–Rom spline paths appear as black outlines on a white SVG canvas. Clicking anywhere on the canvas spawns a colored circle that animates along the path, moving at a constant speed. This is achieved by leveraging the SVG path methods `getTotalLength()` and `getPointAtLength()` to compute the circle’s position at each animation frame. The motion loops continuously, with each circle retaining its own velocity, acceleration, and top-speed properties, producing an organic, independent movement around the spline.