Panorama Canvas Size
Implement a function to calculate the required canvas size for a panorama given multiple images with their respective dimensions and positions. The goal is to determine the minimum canvas size that can accommodate all images without any overlap or truncation.
To achieve this, we need to understand the concept of image alignment and how images are positioned within a panorama. Each image has a width , height , and a horizontal offset , which represents the x-coordinate of the left edge of the image in the panorama's coordinate system. The total width of the canvas is determined by the rightmost edge of any image, which can be calculated as . The total height of the canvas is simply the maximum height among all images, denoted as .
Here are the steps to calculate the canvas size:
- Initialize variables to store the maximum rightmost edge and maximum height.
- Iterate through each image and calculate its rightmost edge.
- Update the maximum rightmost edge and maximum height if necessary.
This technique is widely used in image stitching applications to create seamless panoramas.
Example
images = [(100, 50, 0), (100, 50, 80), (100, 50, 160)]
(260, 50)
Analyzing each image:
Image 1: width=100, height=50, x_offset=0
- Right edge: 0 + 100 = 100
Image 2: width=100, height=50, x_offset=80
- Right edge: 80 + 100 = 180
- Overlaps with Image 1 by 20 pixels
Image 3: width=100, height=50, x_offset=160
- Right edge: 160 + 100 = 260
- Overlaps with Image 2 by 20 pixels
Canvas dimensions:
- Width = max right edge = 260
- Height = max height = 50
Result: (260, 50)
Constraints
- images: list of (width, height, x_offset) tuples
- All x_offsets are non-negative
- Return (total_width, max_height) tuple