I want to calculate first and second fundamental coefficients for some points in a point cloud (sampled surface), I used this method (https://arxiv.org/abs/1601.07272) but in this, only three closest points are used for this reason, so the error is high and it's very sensitive to noise and occlusion. Also I used surface fitting (polynomial with degree 2,3 ,...) then I calculated these coefficients, but the error is high.
I searched a lot for finding discrete methods but I couldn't find any good method. Actually I am searching for a discrete method that uses a set of neighbor points for achieving these coefficients.
any help?
Thanks in advance
2026-02-23 01:17:54.1771809474
Discrete first and second fundamental forms
175 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in DIFFERENTIAL-GEOMETRY
- Smooth Principal Bundle from continuous transition functions?
- Compute Thom and Euler class
- Holonomy bundle is a covering space
- Alternative definition for characteristic foliation of a surface
- Studying regular space curves when restricted to two differentiable functions
- What kind of curvature does a cylinder have?
- A new type of curvature multivector for surfaces?
- Regular surfaces with boundary and $C^1$ domains
- Show that two isometries induce the same linear mapping
- geodesic of infinite length without self-intersections
Related Questions in DIFFERENTIAL-TOPOLOGY
- Getting a self-homeomorphism of the cylinder from a self-homeomorphism of the circle
- what is Sierpiński topology?
- Bott and Tu exercise 6.5 - Reducing the structure group of a vector bundle to $O(n)$
- What's the regularity of the level set of a ''semi-nondegenerate" smooth function on closed manifold?
- Help me to prove related path component and open ball
- Poincarè duals in complex projective space and homotopy
- Hyperboloid is a manifold
- The graph of a smooth map is a manifold
- Prove that the sets in $\mathbb{R}^n$ which are both open and closed are $\emptyset$ and $\mathbb{R}^n$
- Proof the open subset of $\mathbb{R}^2$
Related Questions in DISCRETE-GEOMETRY
- Discrete points curvature analysis
- Is it a tetrahedron, 5-cell, or something else?
- Is there a volume formula for hyperbolic tetrahedron
- Size of $X\setminus g(X)$ for $g(x)$ the closest $y$ to $x$ with $X_k\sim Unif(A)$
- The permutations of (1,1,0,0), (-1,1,0,0), (-1,-1,0,0) are vertices of a polytope.
- What means the modular operator in that proof?
- Schlegel diagram and d-diagram
- volumetric discrete Laplacian
- What are some examples of 2-polytope/3-polytope that are not simple?
- What is the exact value of the radius in the Six Disks Problem?
Related Questions in DISCRETE-LOGARITHMS
- Pohlig–Hellman/Big step baby step
- Show that if n is a power of 3, then $\sum_{i=0}^{\log_3n} 3^i = \frac{3n-1}{2}$
- is it meaningful to calculate $(x+1)^{x+2}$ in $GF(3^2)$, e.g. using discrete logs?
- Characterizations of the discrete logarithms for algebraic structures more general than groups
- Is there a direct mathematical function/ formula for calculate this problem?
- Is it possible to find a closed-form expression for $f(n)$?
- For generator $g$ of multiplicative group: if $\log_g (f^3) = 3x$, then $\log_g (f) = x$?
- Validity of ElGamal Signatures
- Is elliptic curve suitable for using in ECDLP?
- Discrete logarithm problem - Pohlig Hellman $GF(2^{60})$
Related Questions in POINT-CLOUD
- How to get the cartesian form of a plan from its Hesse form?
- calculating first and fundamental form coefficients with surface normal and Gaussian curvature
- Why does the Eigen decomposition of the covariance matrix of a point cloud give its orientation?
- (LP problem) Find an optimal plane that contains a set of points in its positive half-space, such that it does not coincide with another plane
- matrix to transform set of point to another set of points
- Points inside a 3D rectangle
- Direction vector of tube/cylinder from point cloud
- Point to Plane distance parallel to Z-axis
- Efficient algorithm for computing angular velocity of a point cloud about a point
- Torsion of 3D Point Cloud
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?