Geometry Library in C# — Composite Curves
Saturday, April 4, 2026How to join segments, arcs, and NURBS end to end to form contours and polylines.
Read moreTag: Geometry
Articles with the tag "Geometry".
Blog Posts
Geometry Library in C# — Curves
Saturday, April 4, 2026Sixth article in the series: we define the ICurve2d and IBoundedCurve2d interfaces to model parametric curves, from infinite lines to circular arcs.
Read moreGeometry Library in C# — Intersections
Saturday, April 4, 2026How to model intersection results between curves: crossings, tangencies, overlaps, and lazy computation of expensive information.
Read moreGeometry Library in C# — NURBS Curves
Saturday, April 4, 2026How NURBS curves fit into our interface hierarchy: control points, knot vectors, evaluation, and trimming.
Read moreGeometry Library in C# — Operators
Saturday, April 4, 2026Third article in the series: we add +, -, * and / operators to our types so geometric code reads as naturally as mathematical formulas.
Read moreGeometry Library in C# — Creating a Point Type
Saturday, April 4, 2026First article in a series about building a geometry library in C#. We start with the most fundamental type: the point.
Read moreGeometry Library in C# — Transformations
Saturday, April 4, 2026Fifth article in the series: we implement geometric transformations using homogeneous matrices, then explore a lighter alternative with quaternions.
Read moreGeometry Library in C# — The Unit Vector
Saturday, April 4, 2026Fourth article in the series: we create a dedicated type for directions, which guarantees by construction that its length is always 1.
Read moreGeometry Library in C# — Creating a Vector Type
Saturday, April 4, 2026Second article in the series: after the point, it's the vector's turn. Direction, length, dot product, perpendicularity… the foundations for working with directions in 2D and 3D.
Read moreGeometry Library in C# — Intersections in 3D
Sunday, April 5, 2026How to transpose intersection algorithms to 3D: line/sphere, line/circle in space, coplanarity, and projection into the circle's plane.
Read moreGeometry Library in C# — Circle / Circle Intersection
Sunday, April 5, 2026How to find the intersections of two circles (or arcs) in 2D using the radical line, and handle all special cases: tangency, concentricity, overlap.
Read moreGeometry Library in C# — Line / Circle Intersection
Sunday, April 5, 2026How to compute intersections between a line (or segment) and a circle (or arc): substitution into the circle equation, discriminant, and parametric filtering.
Read moreGeometry Library in C# — Numerical Curve Intersection in 3D
Sunday, April 5, 2026When the analytical approach isn't enough: coarse search by subdivision, Newton's method refinement, and tolerance handling for arbitrary curves in space.
Read moreGeometry Library in C# — Segment / Segment Intersection
Sunday, April 5, 2026How to find the intersection point of two 2D segments: setting up the equations, solving with the cross product, handling parallel cases and overlaps.
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