Everything About ___
Live briefing

Everything about Geometry processing

Research topic in computational geometry

Geometry processing is an area of research that uses concepts from applied mathematics, computer science and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation and transmission of complex 3D models. As the name implies, many of the concepts, data structures, and algorithms are directly analogous to signal processing and image processing. For example, where image smoothing might convolve an intensity signal with a blur kernel formed using the Laplace operator, geometric smoothing might be achieved by convolving a surface geometry with a blur kernel formed using the Laplace-Beltrami operator. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Geometry processingA 5-minute orientation
  2. Skim a recent paper: Point Cloud Attacks in Graph Spectral Domain: When 3D Geometry Meets Graph Signal ProcessingInfluential work since 2022
  3. Pick up a classic book: The real projective planeThe most-reprinted book on the subject
  4. Read the landmark paper: Spectral Geometry Processing with Manifold HarmonicsCited 296 times
  5. Go sideways: Fictitious domain methodA closely related topic
  6. Go sideways: Finite element methodA closely related topic

📖 Definitions

No dictionary entry for this exact phrase.

🗂️ The subject at a glance

  1. Geometry processing as a life cycle
  2. Discrete Representation of a Shape
  3. Surface reconstruction
  4. Registration
  5. Smoothing
  6. Parameterization
  7. Deformation
  8. Inside-Outside Segmentation
  9. Applications

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics