How to check a point is inside an ellipsoid with orientation? Determining if a Point Lies Within an Ellipsoid with Orientation The Problem Imagine you have an ellipsoid a 3 D shape resembling a stretched sphere thats not p 2 min read 07-10-2024 25
Check if a 3D point lies inside a 3D platonic solid? Determining if a 3 D Point Resides Within a Platonic Solid Imagine you have a perfectly shaped cube floating in space You also have a point somewhere in this sp 2 min read 07-10-2024 22
Ray casting point in polygon test for polygon with ray-aligned edges Ray Casting for Point in Polygon A Simplified Approach for Ray Aligned Edges Determining if a point lies within a polygon is a fundamental task in computational 3 min read 07-10-2024 44
How to find overlapping area of convex coplanar polygons in 3D? Unraveling the Overlap Finding the Intersection of Convex Coplanar Polygons in 3 D Imagine two flat convex shapes floating in 3 D space They re both lying on th 2 min read 04-10-2024 40
find xyz coordinate inside 3d polygon How to Find XYZ Coordinates Inside a 3 D Polygon Finding the XYZ coordinates inside a 3 D polygon can be challenging especially for developers and mathematician 2 min read 30-09-2024 38
Compensate IMU pan/tilt Compensating IMU Pan Tilt for Enhanced Motion Tracking In the realm of robotics and motion tracking one of the significant challenges is compensating for the mo 3 min read 30-09-2024 47
Find all consensus locations of 2D line segment intersections Finding Consensus Locations of 2 D Line Segment Intersections When working with geometric computations in 2 D one common challenge is identifying the points whe 2 min read 20-09-2024 37
In solidworks, is there a way to get the direction cosines of a surface normal? How to Determine the Direction Cosines of a Surface Normal in Solid Works When working with 3 D models in Solid Works a common task is to find the orientation o 3 min read 19-09-2024 47
While finding count of points inside some shape using KD-Tree, do we need to check areas intersection, or just compare depth-appropriate properties? Understanding KD Tree Point Counting Intersection vs Depth Appropriate Properties When working with spatial data structures like KD Trees a common task arises c 2 min read 17-09-2024 49
Extending a line segment to fit into a bounding box Extending a Line Segment to Fit a Bounding Box A Comprehensive Guide Imagine you have a line segment within a rectangular boundary and you want to extend the li 3 min read 07-09-2024 60
How to find the intersection point of a 3D curve and a 3D surface? Finding the Intersection of a 3 D Curve and Surface A Practical Guide Finding the intersection point of a 3 D curve and surface is a common problem in various f 2 min read 06-09-2024 57
How to generate multiple convex hulls to cover a 3D concave trimesh Approximating Concave Shapes with Convex Hulls for Physics Simulations When working with 3 D physics simulations representing concave objects can pose a signifi 2 min read 05-09-2024 55
Find visibility polyhedron given a point inside it Finding the Visibility Polyhedron A Guide with Practical Insights Determining the visibility polyhedron the portion of a 3 D mesh visible from a given point ins 3 min read 05-09-2024 39
How to locate the most sparse point within a defined 2D region? Finding the Most Sparse Point in a 2 D Region A Comprehensive Guide Have you ever needed to find the point within a defined 2 D region that is furthest from all 2 min read 01-09-2024 43
Find visibility polyhedron from a point inside it Determining the Visibility Polyhedron from a Point Inside a 3 D Mesh Finding the visibility polyhedron from a point inside a 3 D mesh is a common problem in com 2 min read 30-08-2024 52
Duplicated Points in Polygon_with_holes_2 result of a Minkowski_sum_2 Tackling Duplicate Points in CGALs Minkowski Sum A Deep Dive This article delves into a common issue encountered when calculating the Minkowski sum of polygons 2 min read 29-08-2024 57
Is there a curve-triangle intersection algorithm? Finding the Intersection of a Curve and a Triangle Beyond the Ray The intersection between a ray and a triangle is a well studied problem with efficient solutio 2 min read 29-08-2024 53