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Everything about Implicit surface
Surface in 3D space defined by an implicit function of three variables
In mathematics, an implicit surface is a surface in Euclidean space defined by an equation Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Implicit surfaceA 5-minute orientation
- Skim a recent paper: Compact moving particle semi-implicit method for incompressible free-surface flowInfluential work since 2022
- Pick up a classic book: Implicit curves and surfacesThe most-reprinted book on the subject
- Read the landmark paper: CRUISE: Cortical reconstruction using implicit surface evolutionCited 230 times
- Go sideways: Implicit curveA closely related topic
- Go sideways: Surface (mathematics)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
CRUISE: Cortical reconstruction using implicit surface evolution
An evaluation of implicit surface tilers
3DGSR: Implicit Surface Reconstruction with 3D Gaussian Splatting
A Survey on Implicit Surface Polygonization
Adaptive Implicit Surface Polygonization Using Marching Triangles
An implicit free surface algorithm for geodynamical simulations
Vox-Surf: Voxel-Based Implicit Surface Representation
On implicit integration of bounding surface plasticity models
🆕 Influential since 2022
Compact moving particle semi-implicit method for incompressible free-surface flow
Implicit Randomized Progressive-Iterative Approximation for Curve and Surface Reconstruction
Topology-controllable Implicit Surface Reconstruction Based on Persistent Homology
The implicit bulk-surface filtering method for node-based shape optimization and a comparison of explicit and implicit filtering techniques
Implicit Surface Tension for SPH Fluid Simulation
📚 Books worth reading
Implicit curves and surfaces · 2009
Implicit curves and surfacesIrina Voiculescu, Joaquim Jorge · 2009
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Implicit curve In mathematics, an implicit curve is a plane curve defined by an implicit equation relating two coordinate variables, commonly x and y. For example, the…
- Surface (mathematics) In mathematics, a surface is a mathematical model of the common concept of a surface. It is a generalization of a plane, but, unlike a plane, it may be…
- Intersection (geometry) In geometry, an intersection between geometric objects (seen as sets of points) is a point, line, or curve common to two or more objects (such as lines…
- Tangent In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at…
- Plane cubic curve In mathematics, a plane cubic curve, often called simply a cubic, is a plane algebraic curve defined by a homogeneous polynomial of degree 3 in three variables…
- Parametric equation In mathematics, a parametric equation expresses several quantities, such as the coordinates of a point, as functions of one or more variables called parameters…
- Mandelbulb The Mandelbulb is a three-dimensional fractal developed in 2009 by Daniel White and Paul Nylander using spherical coordinates. A canonical 3-dimensional…
- Implicit function In mathematics, an implicit equation is a relation of the form R(x1,…,xn)=0, where R is a function of several variables (often a polynomial). For example…