Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Signed distance computation using the angle weighted pseudonormal.

J Andreas Baerentzen1, Henrik Aanaes

  • 1Informatics and Mathematical Modeling Department, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark. jab@imm.dtu.dk

IEEE Transactions on Visualization and Computer Graphics
|May 5, 2005
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Digitizing the Appearance of 3D Printing Materials Using a Spectrophotometer.

Sensors (Basel, Switzerland)·2024
Same author

Shape from projections via differentiable forward projector for computed tomography.

Ultramicroscopy·2021
Same author

Surface Reconstruction from Structured Light Images Using Differentiable Rendering.

Sensors (Basel, Switzerland)·2021
Same author

Scene reassembly after multimodal digitization and pipeline evaluation using photorealistic rendering.

Applied optics·2017
Same author

Reliable Gait Recognition Using 3D Reconstructions and Random Forests - An Anthropometric Approach.

Journal of forensic sciences·2016
Same author

New equations to calculate 3D joint centres in the lower extremities.

Medical engineering & physics·2015

Angle weighted pseudonormals reliably determine if a point is inside or outside a triangle mesh, even at vertices and edges. This method integrates seamlessly with signed distance calculations for efficient inside-outside determination.

Area of Science:

  • Computational geometry
  • Computer graphics
  • Geometric modeling

Background:

  • Surface normals are crucial for inside-outside tests on smooth surfaces.
  • Triangle meshes lack C1 continuity at vertices/edges, making standard normals undefined.
  • Existing methods struggle with inside-outside determination for non-smooth mesh features.

Purpose of the Study:

  • To demonstrate the efficacy of angle weighted pseudonormals for inside-outside mesh determination.
  • To show that angle weighted pseudonormals can be computed as part of signed distance calculations.
  • To propose an efficient algorithm for signed distance computation to closed C0 meshes.

Main Methods:

  • Utilizing angle weighted pseudonormals for inside-outside discrimination.

Related Experiment Videos

  • Integrating sign computation within signed distance algorithms.
  • Developing and testing a novel algorithm for signed distance to C0 meshes.

    • Main Results:

    • Angle weighted pseudonormals successfully distinguish inside/outside points for triangle meshes.
    • The sign computation using pseudonormals is an integral part of the distance computation.
    • A new algorithm efficiently computes signed distance to closed C0 meshes with negligible overhead for sign determination.

    Conclusions:

    • Angle weighted pseudonormals are a natural extension of face normals for non-smooth surfaces.
    • The proposed method provides a robust and efficient solution for inside-outside tests on triangle meshes.
    • The algorithm offers practical advantages for applications requiring accurate mesh point classification.