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6. Border Tracing Algorithm
https://users.utcluj.ro/~igiosan/Resources/PI/L6/PI-L6e.pdf
6.2.1. Border Tracing Algorithm The border tracing algorithm is used to extract the contours of the objects (regions) from an image. When applying this algorithm it is assumed that the image with regions is either binary or those regions have been previously labeled. Algorithm’s steps: 1. Search the image from top left until a pixel of a new region is found; this pixel P 0
Border-tracing algorithm implementation for the femoral …
https://www.ncbi.nlm.nih.gov/pubmed/11339979
In this research, an automatic procedure (border-tracing method) for the extraction of bone contours was implemented and validated. A composite replica of the human femur was scanned and the CT images processed using three different methods, a manual procedure; the border-tracing algorithm; and a threshold-based method.
Tracing Algorithm - an overview | ScienceDirect Topics
https://www.sciencedirect.com/topics/computer-science/tracing-algorithm
ALGORITHM 4.3. The border tracing algorithm [1111]. 1. Let (q 0, p 0):=(q,p),i:= 0, and k:= 0. 2. Let ξ (p i) = 〈 …, q k, q, … 〉 be the local circular order at p i. If q ∈ A ¯, go to Step 4. 3. Node q is another node on the border cycle. Let i:= i + 1 and p i: = q. Let ξ (p i) = 〈 …, p i − 1, q, … 〉 be the local circular order at p i.
Linear-time border-tracing algorithms for quadtrees
https://link.springer.com/article/10.1007/BF01758835
Abstract. In applications where the quadtree is used as an underlying object representation, a number of basic operations are implemented as a trace along the border of the object's region. A technique is presented that determines a way to shift any given scene (as well as its quadtree), so that the border of all the objects in the scene can be traversed in time proportional to the …
Border-tracing algorithm implementation for the femoral …
https://www.researchgate.net/publication/220539982_Border-tracing_algorithm_implementation_for_the_femoral_geometry_reconstruction
Request PDF | Border-tracing algorithm implementation for the femoral geometry reconstruction | In some orthopaedic applications such as the design of custom-made hip prostheses, reconstruction of ...
geometry - algorithm to trace border in 2D array - Stack …
https://stackoverflow.com/questions/8874873/algorithm-to-trace-border-in-2d-array
take color C of point (x,y) which will be the color to trace. run x+=dx,y+=dy until at (x+dx,y+dy) you have another color and are on a boundary. peek at (x+dx,y+dy), if it is not the same color C, you are hitting a boundary: turn left and goto 4. x+=dx, y+=dy, i.e. take a step. record (x,y) as part of the boundary.
Boundary tracing - Wikipedia
https://en.wikipedia.org/wiki/Boundary_Tracing
Algorithms used for boundary tracing: Square tracing algorithm; Moore-neighbor tracing algorithm; Radial sweep ; Theo Pavlidis’ algorithm ; A generic approach using vector algebra for tracing of a boundary can be found at. An extension of boundary tracing for segmentation of traced boundary into open and closed sub-section is described at. Square tracing algorithm
contour tracing algorithms | TheAILearner
https://theailearner.com/tag/contour-tracing-algorithms/
Moore Boundary Tracing algorithm. Start iterating row by row from left to right. Then traverse the 8-connected components of the object pixel found in the clockwise direction from the background pixel just before the object pixel. Stopping criteria is same as above. This removes the above method limitations. Radial Sweep
Suzuki’s Contour tracing algorithm OpenCV-Python
https://theailearner.com/2019/11/19/suzukis-contour-tracing-algorithm-opencv-python/
Step-1 If it’s an outer border (i.e. f ij = 1 and f i,j-1 = 0) then increment the NBD and set (i2, j2) as (i, j-1). Else if it is a hole border, increment NBD. Set (i2, j2) as (i, j+1) and LNBD = f ij in case f ij > 1. Otherwise, go to step 3. Step-2 Now, from this starting point, we will trace the border. This can be done as
Plotting algorithms for the Mandelbrot set - Wikipedia
https://en.wikipedia.org/wiki/Plotting_algorithms_for_the_Mandelbrot_set
This function is given by. ϕ ( z ) = lim n → ∞ ( log | z n | / P n ) , {\displaystyle \phi (z)=\lim _ {n\to \infty } (\log |z_ {n}|/P^ {n}),} where zn is the value after n iterations and P is the power for which z is raised to in the Mandelbrot set equation ( zn+1 = znP + c, P is generally 2).
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