Table 2. Instance Segmentation per Class.

	hierarchical segmentation (GES net)						single-step segmentation (Mask RCNN)
	class agnostica			class dependentb			class agnostica			class dependentb			number of instances with class
class	PQ	RQ	SQ	PQ	RQ	SQ	PQ	RQ	SQ	PQ	RQ	SQ	test set	train set
vessel	84	93	91	84	93	91	76	85	89	76	85	89	629	2696
liquid	56	69	81	54	67	81	45	54	82	42	51	82	658	2347
solid	48	57	83	44	52	85	31	38	80	13	15	84	100	758
suspension	63	74	84	43	50	87	52	61	85	10	12	82	136	708
foam	24	28	86	17	19	88	14	18	80	03	04	69	28	317
powder	40	48	83	30	36	83	27	35	77	13	15	84	42	344
granular	77	90	86	16	17	91	38	47	81	08	09	93	21	97
large chunks	23	37	62	00	00		27	34	80	00	00		7	44
vapor	71	81	88	62	67	93	67	75	88	00	00		4	39
gel	84	95	89	00	00		00	00		00	00		1	115
mean all subclasses	54	65	82	24	27	88	32	38	82	05	06	82
single phasec	70	82	86	64	74	87	57	66	86	46	54	86	377	1551
multiphased	39	53	74	35	47	76	30	40	76	20	27	75	440	1810
For Instance Size Larger than 5000 Pixels
single phasec	75	86	87	68	78	88	60	69	87	50	57	87	323	1286
multiphased	47	63	75	44	57	77	37	48	77	26	34	76	289	1440
For Instance Size Larger than 10 000 Pixels
single phasec	77	87	88	70	79	89	62	71	87	50	58	87	269	1126
multiphased	51	68	75	45	59	76	41	54	76	30	40	75	206	1240

^aMatching between GT and predicted segments depends only on segment overlap and not on class.

^bStandard metrics, i.e., matching GT and predicted segments must have the same class.

^cSingle-phase system: only one material phase in a given vessel.

^dA multiphase system: more than one separate material phase in the vessel.