calculate intermediate Polygon from two given ones

The need is to make the algorithm to calculate an intermediate Polygon between 2 given Polygons. Some details:

- Center point is given.

- We need to calculate the intermediate polygon given a proportion. For example '1/2' will calculate the polygon in the very middle between the other 2, '1/3' the polygon closer to the 1st polygon, etc

- The given polygons can be composed of multiple polygons on their own (usually a big main polygon and possibly small ones around it).

Visual example attached.

Possible strategies I thought (just an idea maybe you have a better one):

1) Detect which polygon has more vertices, iterate all around it to get rid of vertices of smallest lines until the vertices in both polygons become the same. Calculate the point within the line connecting each individual vertex of the 2 polygons

2) Calculate a line between each vertex of the biggest polygon to the center. Calculate the intersection point between that line and the small polygon. Calculate the point within the new line formed from the intersection point and the vertex of the big polygon (do the same for each vertex).

Skills: Algorithm, Cartography & Maps, Geospatial, Mathematics

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About the Employer:
( 11 reviews ) Paris, France

Project ID: #15640325

13 freelancers are bidding on average $88 for this job

$50 USD in 1 day
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Mathematics Master, Matlab expert, Algorithm Professional Relevant Skills and Experience Algorithm, Cartography & Maps, Geospatial, Mathematics Proposed Milestones $100 USD - 1

$100 USD in 1 day
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Hi, I am a talented mathematician and matlab coder. If you give me this project, you will get good result. Thanks. Relevant Skills and Experience Algorithm, Cartography & Maps, Geospatial, Matlab & Mathematics Propos More

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Hello, I'm software developer with 10+ years of experience and mathematician with a number of publications. Also I'm participant and problem writer of many algorithm competitions (Topcoder, ACM ICPC) Relevant Skills More

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Hi. I know, how the polygon should be calculated properly. It would be good to have more examples with input polygons and desired results especially including intersections. Relevant Skills and Experience Software dev More

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GIS_PROFESSIONAL_GIS_PYTHON_DEVELOPER Hello, My name is Jacob and I have just reviewed your job offer and I find it very interesting as well as connected to my area of expertise Relevant Skills and Experience I am GIS More

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please ignore the bid amount we will discuss the price later in the chat after we have discussed the project thoroughly Relevant Skills and Experience: . Proposed Milestones: 80 - . Hi cq2000! please inbox me to discus More

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Yes, i need this job.i like mathematics.

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I would like to work on this project, but there are many ambiguities. For example, in the figure shown the line drawn from the centre to the vertices, may cut the same polygon at 2 points. Relevant Skills and Experien More

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Hello, My solution to your project may actually be more of a geometrical one than mathematical, but I think it would be simpler. I would like to discuss it further with you. Relevant Skills and Experience Degreed me More

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latar belakang pendidikan geografi keahlian saya dalam bidang pemetaan dan sistem informasi geografis Relevant Skills and Experience pengelaman dan keterampilan dalam mengerjakan proyek di kampus

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