## Constrained Image Segmentation from Hierarchical Boundaries
Pablo Arbelaez and Laurent Cohen
Benchmark Results

Images ranked by F-measure:

Score: F(0.93, 0.94) = 0.93 | Humans: F(0.93, 0.98) = 0.96 | Rank = 1/100 | IID = 167062

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.91, 0.93) = 0.92 | Humans: F(0.70, 0.77) = 0.73 | Rank = 2/100 | IID = 241004

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.89, 0.95) = 0.91 | Humans: F(0.78, 0.91) = 0.84 | Rank = 3/100 | IID = 62096

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.90, 0.90) = 0.90 | Humans: F(0.92, 0.99) = 0.95 | Rank = 4/100 | IID = 101085

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.82, 0.98) = 0.89 | Humans: F(0.74, 0.91) = 0.82 | Rank = 5/100 | IID = 42049

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.88, 0.90) = 0.89 | Humans: F(0.49, 0.76) = 0.60 | Rank = 6/100 | IID = 296059

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.85, 0.89) = 0.87 | Humans: F(0.77, 0.95) = 0.85 | Rank = 7/100 | IID = 78004

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.82, 0.92) = 0.87 | Humans: F(0.78, 0.91) = 0.84 | Rank = 8/100 | IID = 157055

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.82, 0.91) = 0.86 | Humans: F(0.78, 0.95) = 0.86 | Rank = 9/100 | IID = 216081

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.81, 0.93) = 0.86 | Humans: F(0.61, 0.87) = 0.72 | Rank = 10/100 | IID = 227092

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.85, 0.87) = 0.86 | Humans: F(0.65, 0.88) = 0.75 | Rank = 11/100 | IID = 300091

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.87, 0.83) = 0.85 | Humans: F(0.62, 0.86) = 0.72 | Rank = 12/100 | IID = 167083

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.79, 0.92) = 0.85 | Humans: F(0.80, 0.91) = 0.85 | Rank = 13/100 | IID = 253055

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.84, 0.86) = 0.85 | Humans: F(0.81, 0.97) = 0.88 | Rank = 14/100 | IID = 385039

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.79, 0.90) = 0.84 | Humans: F(0.65, 0.88) = 0.75 | Rank = 15/100 | IID = 69020

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.79, 0.89) = 0.84 | Humans: F(0.43, 0.77) = 0.55 | Rank = 16/100 | IID = 229036

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.82, 0.85) = 0.84 | Humans: F(0.59, 0.86) = 0.70 | Rank = 17/100 | IID = 119082

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.75, 0.94) = 0.84 | Humans: F(0.69, 0.92) = 0.79 | Rank = 18/100 | IID = 37073

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.73, 0.99) = 0.84 | Humans: F(0.94, 0.95) = 0.94 | Rank = 19/100 | IID = 196073

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.77, 0.92) = 0.84 | Humans: F(0.76, 0.96) = 0.85 | Rank = 20/100 | IID = 296007

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.75, 0.93) = 0.83 | Humans: F(0.83, 0.97) = 0.89 | Rank = 21/100 | IID = 253027

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.80, 0.86) = 0.83 | Humans: F(0.72, 0.92) = 0.81 | Rank = 22/100 | IID = 147091

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.77, 0.89) = 0.82 | Humans: F(0.65, 0.92) = 0.76 | Rank = 23/100 | IID = 299086

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.85, 0.80) = 0.82 | Humans: F(0.72, 0.84) = 0.78 | Rank = 24/100 | IID = 145086

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.76, 0.88) = 0.82 | Humans: F(0.76, 0.88) = 0.82 | Rank = 25/100 | IID = 101087

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.77, 0.87) = 0.82 | Humans: F(0.73, 0.89) = 0.81 | Rank = 26/100 | IID = 65033

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.75, 0.86) = 0.80 | Humans: F(0.70, 0.94) = 0.80 | Rank = 27/100 | IID = 14037

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.83, 0.76) = 0.79 | Humans: F(0.70, 0.92) = 0.80 | Rank = 28/100 | IID = 41033

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.77, 0.81) = 0.79 | Humans: F(0.83, 0.95) = 0.88 | Rank = 29/100 | IID = 241048

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.76, 0.80) = 0.78 | Humans: F(0.73, 0.93) = 0.82 | Rank = 30/100 | IID = 197017

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.75, 0.81) = 0.78 | Humans: F(0.53, 0.92) = 0.68 | Rank = 31/100 | IID = 38092

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.77, 0.77) = 0.77 | Humans: F(0.72, 0.88) = 0.79 | Rank = 32/100 | IID = 97033

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.66, 0.92) = 0.77 | Humans: F(0.91, 0.98) = 0.94 | Rank = 33/100 | IID = 106024

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.77, 0.77) = 0.77 | Humans: F(0.81, 0.98) = 0.88 | Rank = 34/100 | IID = 189080

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.68, 0.88) = 0.76 | Humans: F(0.69, 0.88) = 0.78 | Rank = 35/100 | IID = 295087

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.74, 0.79) = 0.76 | Humans: F(0.61, 0.88) = 0.72 | Rank = 36/100 | IID = 45096

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.76, 0.76) = 0.76 | Humans: F(0.65, 0.90) = 0.75 | Rank = 37/100 | IID = 271035

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.66, 0.89) = 0.76 | Humans: F(0.71, 0.97) = 0.82 | Rank = 38/100 | IID = 182053

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.70, 0.83) = 0.76 | Humans: F(0.61, 0.96) = 0.75 | Rank = 39/100 | IID = 208001

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.74, 0.78) = 0.76 | Humans: F(0.84, 0.95) = 0.89 | Rank = 40/100 | IID = 143090

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.77, 0.75) = 0.76 | Humans: F(0.68, 0.94) = 0.79 | Rank = 41/100 | IID = 148026

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.66, 0.89) = 0.75 | Humans: F(0.57, 0.86) = 0.68 | Rank = 42/100 | IID = 260058

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.72, 0.79) = 0.75 | Humans: F(0.65, 0.82) = 0.73 | Rank = 43/100 | IID = 85048

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.65, 0.90) = 0.75 | Humans: F(0.72, 0.87) = 0.79 | Rank = 44/100 | IID = 3096

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.73, 0.77) = 0.75 | Humans: F(0.47, 0.78) = 0.59 | Rank = 45/100 | IID = 304034

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.73, 0.77) = 0.75 | Humans: F(0.64, 0.91) = 0.75 | Rank = 46/100 | IID = 134035

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.67, 0.85) = 0.75 | Humans: F(0.88, 0.97) = 0.92 | Rank = 47/100 | IID = 69015

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.79, 0.72) = 0.75 | Humans: F(0.64, 0.80) = 0.71 | Rank = 48/100 | IID = 175043

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.64, 0.90) = 0.75 | Humans: F(0.74, 0.84) = 0.79 | Rank = 49/100 | IID = 156065

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.74, 0.74) = 0.74 | Humans: F(0.73, 0.88) = 0.80 | Rank = 50/100 | IID = 126007

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.71, 0.78) = 0.74 | Humans: F(0.74, 0.87) = 0.80 | Rank = 51/100 | IID = 361010

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.69, 0.80) = 0.74 | Humans: F(0.81, 0.96) = 0.88 | Rank = 52/100 | IID = 285079

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.70, 0.78) = 0.74 | Humans: F(0.90, 0.97) = 0.93 | Rank = 53/100 | IID = 24077

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.68, 0.79) = 0.73 | Humans: F(0.81, 0.91) = 0.86 | Rank = 54/100 | IID = 351093

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.76, 0.69) = 0.73 | Humans: F(0.61, 0.85) = 0.71 | Rank = 55/100 | IID = 376043

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.69, 0.77) = 0.73 | Humans: F(0.63, 0.89) = 0.73 | Rank = 56/100 | IID = 302008

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.75, 0.70) = 0.72 | Humans: F(0.77, 0.93) = 0.84 | Rank = 57/100 | IID = 304074

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.78, 0.67) = 0.72 | Humans: F(0.78, 0.88) = 0.83 | Rank = 58/100 | IID = 86000

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.76, 0.68) = 0.72 | Humans: F(0.78, 0.90) = 0.84 | Rank = 59/100 | IID = 103070

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.61, 0.87) = 0.72 | Humans: F(0.63, 0.73) = 0.68 | Rank = 60/100 | IID = 105025

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.69, 0.75) = 0.72 | Humans: F(0.63, 0.84) = 0.72 | Rank = 61/100 | IID = 33039

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.63, 0.83) = 0.72 | Humans: F(0.66, 0.93) = 0.77 | Rank = 62/100 | IID = 306005

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.65, 0.79) = 0.72 | Humans: F(0.72, 0.87) = 0.79 | Rank = 63/100 | IID = 76053

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.70, 0.72) = 0.71 | Humans: F(0.57, 0.88) = 0.69 | Rank = 64/100 | IID = 21077

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.68, 0.73) = 0.70 | Humans: F(0.86, 0.98) = 0.91 | Rank = 65/100 | IID = 219090

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.71, 0.69) = 0.70 | Humans: F(0.73, 0.88) = 0.80 | Rank = 66/100 | IID = 223061

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.65, 0.74) = 0.69 | Humans: F(0.71, 0.83) = 0.76 | Rank = 67/100 | IID = 55073

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.72, 0.66) = 0.69 | Humans: F(0.52, 0.81) = 0.64 | Rank = 68/100 | IID = 19021

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.69, 0.69) = 0.69 | Humans: F(0.71, 0.93) = 0.81 | Rank = 69/100 | IID = 42012

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.62, 0.78) = 0.69 | Humans: F(0.62, 0.86) = 0.72 | Rank = 70/100 | IID = 66053

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.69, 0.65) = 0.67 | Humans: F(0.81, 0.94) = 0.87 | Rank = 71/100 | IID = 41069

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.65, 0.68) = 0.66 | Humans: F(0.68, 0.92) = 0.78 | Rank = 72/100 | IID = 159008

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.55, 0.83) = 0.66 | Humans: F(0.68, 0.89) = 0.77 | Rank = 73/100 | IID = 102061

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.56, 0.78) = 0.65 | Humans: F(0.83, 0.94) = 0.88 | Rank = 74/100 | IID = 54082

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.65, 0.65) = 0.65 | Humans: F(0.73, 0.95) = 0.83 | Rank = 75/100 | IID = 220075

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.61, 0.69) = 0.65 | Humans: F(0.72, 0.91) = 0.81 | Rank = 76/100 | IID = 163085

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.56, 0.73) = 0.64 | Humans: F(0.76, 0.92) = 0.83 | Rank = 77/100 | IID = 86068

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.60, 0.68) = 0.64 | Humans: F(0.80, 0.95) = 0.87 | Rank = 78/100 | IID = 86016

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.54, 0.75) = 0.63 | Humans: F(0.71, 0.88) = 0.78 | Rank = 79/100 | IID = 43074

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.67, 0.59) = 0.63 | Humans: F(0.85, 0.97) = 0.91 | Rank = 80/100 | IID = 175032

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.57, 0.69) = 0.62 | Humans: F(0.70, 0.86) = 0.77 | Rank = 81/100 | IID = 210088

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.57, 0.69) = 0.62 | Humans: F(0.59, 0.93) = 0.72 | Rank = 82/100 | IID = 38082

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.59, 0.66) = 0.62 | Humans: F(0.89, 0.94) = 0.92 | Rank = 83/100 | IID = 291000

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.59, 0.65) = 0.62 | Humans: F(0.76, 0.95) = 0.84 | Rank = 84/100 | IID = 170057

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.53, 0.71) = 0.61 | Humans: F(0.68, 0.93) = 0.79 | Rank = 85/100 | IID = 58060

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.60, 0.61) = 0.61 | Humans: F(0.70, 0.94) = 0.80 | Rank = 86/100 | IID = 108005

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.57, 0.63) = 0.60 | Humans: F(0.84, 0.97) = 0.90 | Rank = 87/100 | IID = 109053

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.61, 0.58) = 0.59 | Humans: F(0.81, 0.97) = 0.88 | Rank = 88/100 | IID = 89072

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.57, 0.61) = 0.59 | Humans: F(0.75, 0.79) = 0.77 | Rank = 89/100 | IID = 148089

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.61, 0.57) = 0.59 | Humans: F(0.81, 0.86) = 0.84 | Rank = 90/100 | IID = 16077

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.61, 0.54) = 0.57 | Humans: F(0.57, 0.84) = 0.68 | Rank = 91/100 | IID = 69040

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.54, 0.58) = 0.56 | Humans: F(0.81, 0.97) = 0.88 | Rank = 92/100 | IID = 160068

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.52, 0.57) = 0.54 | Humans: F(0.75, 0.91) = 0.82 | Rank = 93/100 | IID = 87046

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.64, 0.45) = 0.53 | Humans: F(0.75, 0.87) = 0.81 | Rank = 94/100 | IID = 123074

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.51, 0.52) = 0.51 | Humans: F(0.85, 0.97) = 0.91 | Rank = 95/100 | IID = 236037

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.64, 0.39) = 0.48 | Humans: F(0.94, 0.99) = 0.96 | Rank = 96/100 | IID = 8023

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.43, 0.54) = 0.48 | Humans: F(0.49, 0.74) = 0.59 | Rank = 97/100 | IID = 130026

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.43, 0.38) = 0.40 | Humans: F(0.58, 0.85) = 0.69 | Rank = 98/100 | IID = 108070

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.40, 0.39) = 0.40 | Humans: F(0.84, 0.97) = 0.90 | Rank = 99/100 | IID = 108082

Ground Truth Seeds | Segmentation | Correspondence

Score: F(0.32, 0.40) = 0.35 | Humans: F(0.65, 0.96) = 0.77 | Rank = 100/100 | IID = 12084

Ground Truth Seeds | Segmentation | Correspondence